On Completely Integrability Systems of Differential Equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

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14 pages. This paper was sent to the Communications in Nonlinear Science and Numerical Simulation

Scientific paper

In this note we discuss the approach which was given by Wazwaz for the proof
of the complete integrability to the system of nonlinear differential
equations. We show that his method presented in [Wazwaz A.M. Completely
integrable coupled KdV and coupled KP systems, Commun Nonlinear Sci Simulat 15
(2010) 2828-2835] is incorrect.

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